LEADER 03874nam 22006495 450 001 9910299768403321 005 20200701085611.0 010 $a3-319-16092-3 024 7 $a10.1007/978-3-319-16092-4 035 $a(CKB)3710000000436807 035 $a(SSID)ssj0001558476 035 $a(PQKBManifestationID)16183862 035 $a(PQKBTitleCode)TC0001558476 035 $a(PQKBWorkID)14818971 035 $a(PQKB)11072310 035 $a(DE-He213)978-3-319-16092-4 035 $a(MiAaPQ)EBC6310764 035 $a(MiAaPQ)EBC5587202 035 $a(Au-PeEL)EBL5587202 035 $a(OCoLC)910963819 035 $z(PPN)258851295 035 $a(PPN)186400322 035 $a(EXLCZ)993710000000436807 100 $a20150602d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 12$aA Cp-Theory Problem Book $eCompactness in Function Spaces /$fby Vladimir V. Tkachuk 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XV, 524 p.) 225 1 $aProblem Books in Mathematics,$x0941-3502 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-16091-5 320 $aIncludes bibliographical references and index. 327 $aPreface -- Contents -- Detailed summary of exercise sections -- Introduction -- 1. Behavior of Compactness in Function Spaces -- 2. Solutions of Problems 001-0500 -- 3. Bonus Results: Some Hidden Statements -- 4. Open Problems -- Bibliography -- List of Special Symbols -- Index. 330 $aThis third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis. The text is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research covering a wide variety of topics in Cp-theory and general topology at the professional level.  The first volume, Topological and Function Spaces © 2011, provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. The second volume, Special Features of Function Spaces © 2014, continued from the first, giving reasonably complete coverage of Cp-theory, systematically introducing each of the major topics and providing 500 carefully selected problems and exercises with complete solutions. This third volume is self-contained and works in tandem with the other two, containing five hundred carefully selected problems and solutions. It can also be considered as an introduction to advanced set theory and descriptive set theory, presenting diverse topics of the theory of function spaces with the topology of point wise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology. 410 0$aProblem Books in Mathematics,$x0941-3502 606 $aAlgebraic topology 606 $aFunctional analysis 606 $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aAlgebraic topology. 615 0$aFunctional analysis. 615 14$aAlgebraic Topology. 615 24$aFunctional Analysis. 676 $a515.73 700 $aTkachuk$b Vladimir V$4aut$4http://id.loc.gov/vocabulary/relators/aut$0511073 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299768403321 996 $aA Cp-Theory Problem Book$92174083 997 $aUNINA